Tag Archives: mathematics

George Polya’s Ten Commandments for Teachers

This is George Polya’s 10 commandments for teachers: 1. Be interested in your subject. 2. Know your subject. 3. Know about the ways of learning: The best way to learn anything is to discover it by yourself. 4. Try to read the faces of your students, try to see their expectations and difficulties, put yourself… Read More »

Math knowledge for teaching fractions and decimals

No one can teach mathematics without knowing mathematics but not everyone who knows mathematics can teach it well. Below are two tasks about teaching fractions and decimals that would give us a sense of the kind of mathematical knowledge we teachers need to knowapart from knowledge of the content of mathematics. As teachers it is… Read More »

Math Knowledge for Teaching Addition

This post is the second in the series of post about the Math Knowledge for Teaching (MKT) where I present task/lesson that teachers and interested readers of this blog can discuss. The first is about Tangents to Curves, a Year 12 lesson. This second post is for young learners. The task How many small cubes make up… Read More »

Levels of math teachers expertise

Math teachers expertise can be characterized in three levels: The teachers at Level 1 can only tell students the important basic ideas of mathematics such as facts, concepts, and procedures. These teachers are more likely to teach by telling. For example in teaching students about the set of integers they start by defining what integers… Read More »

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